Numerical Solution of Second Order IVP by Fuzzy Transform Method

Document Type : Research Paper


1 mazandaran university

2 Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran.

3 Faculty of engineering and natural sciences, Bahcesehir university, Istanbul, Turkey.



In this paper, we employed fuzzy transforms to present a new method for solving
the problem through second-order fuzzy initial value. The advantage of the
fuzzy transform method is that, unlike other methods (e.g. high-order fuzzy
Taylor series), it does not require any higher-order derivative calculation, thus
reducing computational cost. In two examples, the results of the newly proposed
method were examined against several conventional methods, indicating
the more desirable performance of the new method.